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Finding the Fourth Proportional to 294,809.47, 406,847.96 and 167,506.63

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Solution

The fourth proportional to 294,809.47, 406,847.96 and 167,506.63 is: 231,165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,809.47 : 406,847.96 = 167,506.63 : x
  2. Step 2: Convert to fraction form
    294,809.47/406,847.96 = 167,506.63/x
  3. Step 3: Cross multiply
    294,809.47x = 406,847.96 × 167,506.63
  4. Step 4: Simplify right side
    294,809.47x = 68,149,730,701.97
  5. Step 5: Solve for x
    x = 68,149,730,701.97/294,809.47
  6. Step 6: Final answer
    x = 231,165.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.